Numerical investigation of magnetic field and radiative heat flux on rheological behavior of Williamson nanofluid in a stretching cylinder

This study delves into the complex rheological properties of Williamson nanofluid and their effects on flow dynamics around a stretching cylinder. This study's significance lies in its potential to enhance heat transfer, advance nanofluid-based technologies, and optimize manufacturing processes. Specifically, we analyze a mixed convection, incompressible MHD Williamson nanofluid flow around a elongation cylinder surrounded by a permeable media. The cylinder's configuration includes a velocity slip boundary condition, and we investigate the influence of factors such as a magnetic field, viscous dissipation, radiative heat flux, heat source/sink, and chemical reactions. Our objective is a comprehensive analysis of Williamson nanofluid's unique rheological characteristics and their impact on flow behavior in cylinder geometry. The governing nonlinear PDEs were converted into ODEs using similarity transformation. The transformed ODEs are tackled numerically efficient Keller Box Method (KBM). We rigorously validate the obtained results against existing literature to ensure accuracy and reliability. Our study thoroughly shows the heat and mass flux rates across various physical parameters, revealing significant trends. Increasing values of porous media, magnetic, and slip parameters are observed to reduce the velocity boundary layer. Conversely, enhancing radiative flux accelerates the heat transfer rate on the elongating cylinder's surface. This research enhances our understanding of intricate fluid behaviors and their implications in the context of stretching cylinder geometry.